Least Common Multiple of 31/578, 66/422, 186/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/578, 66/422, 186/685 quickly i.e. 2046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/578, 66/422, 186/685 is 2046.

LCM(31/578, 66/422, 186/685) = 2046

LCM of 31/578, 66/422, 186/685

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 31/578,66/422,186/685

Given numbers are 31/578,66/422,186/685

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 31,66,186

Least Common Multiple of Numerators i.e. LCM of 31,66,186 is 2046.

GCF of Denominators means GCF of 578,422,685 as per the given fractions.

GCF of 578,422,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,66,186

LCM of Fractions 31/578,66/422,186/685 is 2046

2 31, 66, 186
3 31, 33, 93
31 31, 11, 31
1, 11, 1

∴ So the LCM of the given numbers is 2 x 3 x 31 x 1 x 11 x 1 = 2046

Least Common Multiple of 31,66,186 with GCF Formula

Least Common Multiple of 31,66,186 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 31,66,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,66,186) = 1

common factors(in case of two or more numbers have common factors) = 186

GCF(31,66,186) x common factors =1 x 186 = 186

LCM(31,66,186) = ( 31 × 66 × 186 ) / 186

LCM(31,66,186) = 380556 / 186

LCM(31,66,186) = 2046


Lets's calculate GCF of 578,422,685

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2046/1

Therefore the LCM of Fractions 31/578,66/422,186/685 is 2046

Greatest Common Factor of 578,422,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,422,685 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 578,422,685 . The biggest common factor number is the GCF number.
So the greatest common factor 578,422,685 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 31/578, 66/422, 186/685

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 31/578, 66/422, 186/685?

Answer: LCM of Numerators as per given numbers 31/578, 66/422, 186/685 is

LCM of Numerators i.e. for 31,66,186 is 2046

GCF of denominators i.e. for 578,422,685 is 1.

Thus, LCM of Fractions is 2046.Finally, LCM of Fractions for 31/578, 66/422, 186/685 is 2046.